$2$-adic integral models of some Shimura varieties with parahoric level structure

Jie Yang

$2$-adic integral models of some Shimura varieties with parahoric level structure

Number Theory 2025-03-27 v2 Algebraic Geometry

Authors: Jie Yang

Abstract

We construct integral models over $p=2$ for some Shimura varieties of abelian type with parahoric level structure, extending the previous work of Kim-Madapusi, Kisin, Pappas, and Zhou. For Shimura varieties of Hodge type, we show that our integral models are canonical in the sense of Pappas-Rapoport.

Keywords

shimura varieties p-adic hodge theory abelian varieties

Cite

@article{arxiv.2301.12981,
  title  = {$2$-adic integral models of some Shimura varieties with parahoric level structure},
  author = {Jie Yang},
  journal= {arXiv preprint arXiv:2301.12981},
  year   = {2025}
}

Comments

28 pages; This revised version takes into account the work of Kisin-Pappas-Zhou arXiv:2409.03689. The main results of the previous version have been modified

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